THERMAL-GRAVITATIONAL WIND EQUATION FOR THE WIND-INDUCED GRAVITATIONAL SIGNATURE OF GIANT GASEOUS PLANETS: MATHEMATICAL DERIVATION, NUMERICAL METHOD, AND ILLUSTRATIVE SOLUTIONS

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	THERMAL-GRAVITATIONAL WIND EQUATION FOR THE WIND-INDUCED GRAVITATIONAL SIGNATURE OF GIANT GASEOUS PLANETS: MATHEMATICAL DERIVATION, NUMERICAL METHOD, AND ILLUSTRATIVE SOLUTIONS
	Zhang, Keke 1,2; Kong, Dali 1,3; Schubert, Gerald 4
刊名	ASTROPHYSICAL JOURNAL
	2015-06-20
卷号	806 期号:2
关键词	planetary systems planets and satellites: gaseous planets planets and satellites: interiors
英文摘要	The standard thermal wind equation (TWE) relating the vertical shear of a flow to the horizontal density gradient in an atmosphere has been used to calculate the external gravitational signature produced by zonal winds in the interiors of giant gaseous planets. We show, however, that in this application the TWE needs to be generalized to account for an associated gravitational perturbation. We refer to the generalized equation as the thermal-gravitational wind equation (TGWE). The generalized equation represents a two-dimensional kernel integral equation with the Green's function in its integrand and is hence much more difficult to solve than the standard TWE. We develop an extended spectral method for solving the TGWE in spherical geometry. We then apply the method to a generic gaseous Jupiter-like object with idealized zonal winds. We demonstrate that solutions of the TGWE are substantially different from those of the standard TWE. We conclude that the TGWE must be used to estimate the gravitational signature of zonal winds in giant gaseous planets.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Astronomy & Astrophysics
研究领域[WOS]	Astronomy & Astrophysics
关键词[WOS]	DEEP ZONAL FLOWS ; CONVECTION ; JUPITER ; GRAVITY ; JETS
收录类别	SCI
语种	英语
WOS记录号	WOS:000357129500125
内容类型	期刊论文
源URL	[http://libir.pmo.ac.cn/handle/332002/16007]
专题	紫金山天文台_暗物质和空间天文实验室
作者单位	1.Univ Exeter, Ctr Geophys & Astrophys Fluid Dynam, Exeter EX4 4QF, Devon, England 2.Univ Exeter, Dept Math Sci, Exeter EX4 4QF, Devon, England 3.Chinese Acad Sci, Key Lab Planetary Sci, Shanghai 200030, Peoples R China 4.Univ Calif Los Angeles, Dept Earth Planetary & Space Sci, Los Angeles, CA 90095 USA
推荐引用方式 GB/T 7714	Zhang, Keke,Kong, Dali,Schubert, Gerald. THERMAL-GRAVITATIONAL WIND EQUATION FOR THE WIND-INDUCED GRAVITATIONAL SIGNATURE OF GIANT GASEOUS PLANETS: MATHEMATICAL DERIVATION, NUMERICAL METHOD, AND ILLUSTRATIVE SOLUTIONS[J]. ASTROPHYSICAL JOURNAL,2015,806(2).
APA	Zhang, Keke,Kong, Dali,&Schubert, Gerald.(2015).THERMAL-GRAVITATIONAL WIND EQUATION FOR THE WIND-INDUCED GRAVITATIONAL SIGNATURE OF GIANT GASEOUS PLANETS: MATHEMATICAL DERIVATION, NUMERICAL METHOD, AND ILLUSTRATIVE SOLUTIONS.ASTROPHYSICAL JOURNAL,806(2).
MLA	Zhang, Keke,et al."THERMAL-GRAVITATIONAL WIND EQUATION FOR THE WIND-INDUCED GRAVITATIONAL SIGNATURE OF GIANT GASEOUS PLANETS: MATHEMATICAL DERIVATION, NUMERICAL METHOD, AND ILLUSTRATIVE SOLUTIONS".ASTROPHYSICAL JOURNAL 806.2(2015).